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Finding the Third Proportional to 88,129.13 and 131,861.81

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Solution

The third proportional to 88,129.13 and 131,861.81 is: 197,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,129.13 : 131,861.81 = 131,861.81 : x
  2. Step 2: Convert to fraction form
    88,129.13/131,861.81 = 131,861.81/x
  3. Step 3: Cross multiply
    88,129.13x = 131,861.81 × 131,861.81
  4. Step 4: Simplify right side
    88,129.13x = 17,387,537,595.79
  5. Step 5: Solve for x
    x = 17,387,537,595.79/88,129.13
  6. Step 6: Final answer
    x = 197,296.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.